Nonlinear fractional differential equations with nonlocal integral boundary conditions

Advances in Difference Equations

Qun Dai¹  Suli Liu²  Huilai Li² 

[1] College of Science, Changchun University of Science and Technology, Changchun, P.R. China;School of Mathematics, Jilin University, Changchun, P.R. China

关键词: fractional differential equation;    integral boundary condition;    iterative sequence;   

DOI  :  10.1186/s13662-015-0534-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper concerns the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. By using the properties of the Green’s function and the monotone iteration technique, one shows the existence of positive solutions and constructs two successively iterative sequences to approximate the solutions, especially numerically simulates the conclusion by an example.

【 授权许可】

CC BY